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Finding the Fourth Proportional to 295,476.90, 442,956.15 and 177,195.30

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Solution

The fourth proportional to 295,476.90, 442,956.15 and 177,195.30 is: 265,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,476.90 : 442,956.15 = 177,195.30 : x
  2. Step 2: Convert to fraction form
    295,476.90/442,956.15 = 177,195.30/x
  3. Step 3: Cross multiply
    295,476.90x = 442,956.15 × 177,195.30
  4. Step 4: Simplify right side
    295,476.90x = 78,489,747,886.10
  5. Step 5: Solve for x
    x = 78,489,747,886.10/295,476.90
  6. Step 6: Final answer
    x = 265,637.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.